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Finding the Third Proportional to 197,920 and 304,224

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Solution

The third proportional to 197,920 and 304,224 is: 467,624.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,920 : 304,224 = 304,224 : x
  2. Step 2: Convert to fraction form
    197,920/304,224 = 304,224/x
  3. Step 3: Cross multiply
    197,920x = 304,224 × 304,224
  4. Step 4: Simplify right side
    197,920x = 92,552,242,176
  5. Step 5: Solve for x
    x = 92,552,242,176/197,920
  6. Step 6: Final answer
    x = 467,624.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.